Dear Marek Mitros, You asked some questions about constructing compact forms of exceptional Lie algebras in GAP. I may have some partial answers to your questions.
1. Do you have any ideas for building matrix representations of compact e7, e8 in dimensions 56,248 respectively ?
Unfortunately I do not, but maybe somebody else does.
2. The root system in GAP is different to the one presented on wikipedia for F4, E6,E7,E8. Is there way to take wikipedia roots and build lie algebra from it ?
Not directly. However, the simple Lie algebras in GAP come with a root system, that have a Cartan matrix and a system of simple roots. One can use this data to identify the GAP root system with any other preferred one.
3. When I tried to do Derivations from 54 dimensional algebra C*h3O there is out-of-memory error which close the GAP session. Any workaround ?
The algorithm for computing derivations solves a rather large amount of linear equations. This may indeed lead to memory problems. But I don't know of any other algorithm to compute derivations. Best wishes, Willem de Graaf _______________________________________________ Forum mailing list [email protected] http://mail.gap-system.org/mailman/listinfo/forum
